Tính \(\lim _{x \rightarrow-1} \frac{\sqrt{2+x}-1}{x+1}\)
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\(\lim _{x \rightarrow-1} \frac{\sqrt{2+x}-1}{x+1}\)\(=\lim _{x \rightarrow-1} \frac{(\sqrt{2+x}-1)(\sqrt{2+x}+1)}{(x+1)(\sqrt{2+x}+1)}\) \(=\lim _{x \rightarrow-1} \frac{x+1}{(x+1)(\sqrt{2+x}+1)}\) \(=\lim _{x \rightarrow-1} \frac{1}{\sqrt{2+x}+1}\) \(=\lim _{x \rightarrow-1} \frac{1}{\sqrt{2+(-1)}+1}\) \(= \frac{1}{2}\)
Tài liệu "Bộ Đề Kiểm Tra Học Kì II - Toán 11 - Các Trường THPT Trên Toàn Quốc" tổng hợp các đề kiểm tra từ các trường THPT trên toàn quốc, được biên soạn theo đúng chương trình học. Đề thi bao gồm các dạng bài trắc nghiệm và tự luận, tập trung vào các chủ đề trọng tâm: công nghệ và đời sống, quy trình công nghệ, vật liệu kỹ thuật, và ứng dụng công nghệ trong sản xuất và đời sống. Tài liệu giúp học sinh ôn tập hiệu quả, củng cố kiến thức, rèn luyện kỹ năng và tự tin đạt kết quả cao trong kỳ thi học kỳ I.
Câu hỏi liên quan
Do nhu cầu hoa ngày lễ 8/3 cao nên các thương lái đã nhập hoa với số lượng lớn để bán trên thị trường. Trong trường hợp trên, chức năng nào của thị trường đã được vận dụng?
Tiệm cận xiên của đồ thị hàm số \(y=\frac{{{x}^{2}}-2x+3}{x+1}\) là:
Cho hàm số \({\rm{f}}({\rm{x}}) = {\rm{a}}{{\rm{x}}^3} + {\rm{b}}{{\rm{x}}^2} + {\rm{cx}} + {\rm{d}}({\rm{a}},{\rm{b}},{\rm{c}},{\rm{d}} \in \mathbb{R},{\rm{a}} \ne 0)\) có bảng xét dấu của đạo hàm dưới đây
Hàm số đã cho đồng biến trên khoảng
Mark the letter A, B, C or D on your answer sheet to indicate the best arrangement of utterances or sentences to make a meaningful exchange or text in each of the following questions from 13 to 17.
a. Although many items end up in the trash after we use them, some clever designers are creating things that can be fixed or recycled when they break.
b. When I bought my water bottle last year, I chose one that will last a long time because it is made from strong materials that don't harm nature.
c. Since more people care about the environment, which makes me hopeful, many shops now sell products that are designed to be part of the circular economy.
d. When companies make products that can be reused, they help our planet stay clean and healthy.
e. If we build phones that are easy to repair, which saves us money, we won't need to buy new ones so often.
Read the passage and mark the letter A, B, C or D to answer the following questions.
Volunteering offers many of the same social benefits, with the added bonus of helping others and developing useful skills to put on your CV. Plus, students are in a unique position to help, suggests Tom Fox. "They can take their enthusiasm and excitement for opportunities and share their passions, subject knowledge and experience with people." The idea of giving up time for nothing might seem impractical at first, especially once the pressures of study and coursework or exams begin to mount up. However, Michelle Wright, CEO of charity support organization Cause4, suggests seeing volunteering as a two-way street. "I think it is fine for undergraduates to approach volunteering as a symbiotic relationship where doing good is just one part of the motivation for reaching personal and professional goals."
Katerina Rudiger, head of skills and policy campaigns at the Chartered Institute of Personnel and Development (CIPD), says: "Volunteering can be a valuable way of gaining that experience, as well as building confidence, broadening your horizons, becoming a better team player and developing those all- important 'employability skills' such as communication and decision making." Amanda Haig, graduate HR manager, agrees that volunteering can help your employment prospects. "Volunteering can demonstrate positive personality traits and skill sets, such as proactivity, and teamwork," she says.
A positive side-effect of volunteering is improving your time at university by getting involved in the local community. Leaving the student bubble can make your time as an undergraduate much more varied. At Bath Spa University, more than 1,000 students volunteered over the past year, doing everything from working on local environmental projects to helping in schools or assisting the elderly. ”Quite often there can be a divide between students and permanent residents," says students' union president Amy Dawson, "but if students invest a little time now, they will be giving something back to the local community and will reap the benefits in the future."
“You might also find that volunteering helps your studies if you choose the right program. At Lancaster, volunteering is linked into academic modules in some cases", explains Fox. "This has multiple wins. Students get to apply their learning in the classroom and share their interests with children in local schools or community organizations, while schools gain skilled students with a passion for a subject that enthuses their pupils."Personality traits and skill sets include____________.
Cho lăng trụ đứng \(A B C \cdot A^{\prime} B^{\prime} C^{\prime}\) có đáy \(ABC\) là tam giác đều cạnh \(a\). Gọi \(D\) là trung điểm cạnh \(BC\). Biết \(A A^{\prime}=2 a\), khoảng cách giữa hai đường thẳng \(A^{\prime} B\) và \(C^{\prime} D\) là:
Hai chất nào sau đây được cho vào muối ăn để bổ sung nguyên tố iodine, phòng ngừa bệnh bướu cổ ở người?
Read the following leaflet and mark the letter A, B, C or D on your answer sheet to indicate the option that bestfits each of the numbered blanks from 7 to 12.
HEALTHY EATING HABITS
Let's explore how we can improve our eating habits for a healthier lifestyle.
Facts and figures.
Many people consume much sugar and unhealthy fats every day. In fact, studies show that we (7) _____ over 200 grams of sugar daily, which can lead to (8) _____ health issues.
Positive actions!
• Choose whole foods and fresh products. This helps reduce the intake of (9) _____ additives that can be harmful to your health.
• (10) _____ buying sugary snacks, make your own healthy snacks at home! Preparing your meals can help control the (11) _____ of sugar and salt you consume.
• Drink plenty of water. Limit your intake of sugary drinks and (12) _____ to maintain a balanced diet.
Cho phương trình \({{4}^{x}}-2m\cdot {{2}^{x}}+2m+2=0\). Với \(m\) là tham số thực.
Phương trình có hai nghiệm phân biệt khi và chỉ khi:Vì sao trong thí nghiệm chứng minh quá trình vận chuyển nước ở thân nên lựa chọn hoa có màu trắng?
Read the following passage and choose the best answer to each of the following questions from 23 to 30.
1. People learn new languages for many reasons - work, travel, or personal enjoyment. However, beyond practical uses, learning a language offers powerful cognitive, emotional, and social benefits. It strengthens brain function, improves memory, and enhances communication skills. Although learning a new language may seem difficult for adults, experts emphasize its long-term benefits for their brain health, adaptability, and mental agility.
2. One of the greatest advantages of language learning is its cognitive impact. Research shows that bilingual individuals have stronger memory, better concentration, and enhanced problem-solving abilities. Studies also indicate that speaking more than one language can delay the onset of dementia by strengthening executive functions such as multitasking and reasoning. Moreover, learning a new language physically changes the brain by increasing grey matter volume, which helps with memory, and protecting white matter, which helps the brain send information quickly. These changes help keep the brain sharp as people age.
3. Beyond mental benefits, language learning also boosts confidence and expands social opportunities. Speaking another language gives people a sense of pride and confidence. It also opens doors to cultural experiences and career growth by allowing learners to engage with diverse communities. Many language learners find that their skills help them start conversations and understand other people's traditions better. Moreover, the process of language learning fosters patience and a greater appreciation for cultural diversity.
4. To maximize learning, experts recommend consistent practice and immersion. Apps like Duolingo or Babbel, daily speaking practice, and watching movies in the target language can make learning fun and effective. Learning basic vocabulary, grammar, and sentence structures and finding a conversation partner are also important. By applying these strategies, learners can develop fluency and experience the lifelong rewards of bilingualism.
Which of the following is NOT mentioned in paragraph 2 as a benefit of language learning?
Một trong những danh hoạ kiệt xuất của thời kì Phục hưng ở Tây Âu là
Chất hữu cơ A và B là đồng phân của nhau. Trong đó, chất A là một ester có tên là vinyl acetate.Trùng hợp chất A thu được polymer X, là một loại keo dán thông dụng cho các vật liệu xốp như gỗ, giấy và vải.
Chất hữu cơ B bền trong dung dịch sulfuric acid loãng nóng, B có thể phản ứng với thuốc thử Tollens (dung dịch AgNO\(_3\) trong NH\(_3\) dư). Ngoài ra, khi cho B tác dụng với dung dịch iodine (I\(_2\)) trong môi trường kiềm thấy xuất hiện kết tủa vàng.
Mỗi mắt xích trong polymer X có bao nhiêu nguyên tử carbon?
Quá trình nhân đôi ADN, trên một mạch khuôn mạch mới tổng hợp liên tục, còn trên mạch khuôn còn lại mạch mới được tổng hợp ngắt quãng theo từng đoạn. Hiện tượng này xảy ra do đâu?
Các trung tâm công nghiệp thường được biểu hiện bằng phương pháp gì?
Khi tế bào cần tăng cường tổng hợp protein, cấu trúc nào sau đây sẽ hoạt động mạnh mẽ hơn?
Các mục tiêu chỉnh sửa video thường là?
Cuộc đời, số phận bất hạnh nàng Tiểu Thanh được nhắc đến trong Đọc Tiểu Thanh kí của Nguyễn Du giống số phận của
Phương pháp bảo quản bằng khí quyển điều chỉnh là:
Read the following passage about powering and mark the letter A, B, C or D on your answer sheet to indicate the best answer to each of the following questions from 31 to 40.
TikTok is a popular social media app where people can create and share short videos [I]. It started in China in 2016 as Douyin [II]. The app is known for its easy-to-use tools that let users add music, effects, and filters to their videos [III]. People of all ages enjoy making and watching TikTok videos, which can be funny, educational, or creative [IV].
One of the reasons TikTok is so popular is because of its algorithm, which shows users videos that match their interests. When you open the app, you see a personalized feed called the "For You" page. This page is different for everyone and updates with new videos all the time. Users can also follow their favorite creators to see more of their content.
TikTok has become a platform for trends and challenges. Many users participate in dance challenges, lip-syncing, and other viral activities. These trends can spread quickly, reaching millions of people in a short time. Because of this, TikTok has influenced music charts, fashion, and even language. Songs that go viral on TikTok often become hits on other platforms too.
The app is also a space for education and advocacy. Many creators use TikTok to share knowledge about various topics, such as science, history, cooking, and fitness. Others use the platform to raise awareness about social issues and promote positive change.
In addition to individual creators, many brands and businesses use TikTok for marketing. They create content to engage with their audience, often using popular trends and challenges to promote their products.
However, TikTok has faced some criticism and challenges. Concerns about privacy and data security have led to scrutiny from governments. Despite these issues, TikTok still remains one of the most downloaded apps in the world.
The word viral in paragraph 3 is OPPOSITE in meaning to __________.